Greatest Common Factor of 537/275, 728/542, 520/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 537/275, 728/542, 520/414

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 537/275,728/542,520/414

Given fractions are 537/275,728/542,520/414

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 537,728,520

Greatest Common Factor of Numerators i.e. GCF of 537,728,520 is 1 .

LCM of Denominators means LCM of 275,542,414 as per the given fractions.

LCM of 275,542,414 is 30853350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 537,728,520

GCF of Fractions 537/275,728/542,520/414 is 1/30853350

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 537,728,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,728,520 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 537,728,520 . The biggest common factor number is the GCF number.
So the greatest common factor 537,728,520 is 1.

Lets's calculate LCM of 275,542,414

2 275, 542, 414
275, 271, 207

∴ So the LCM of the given numbers is 2 x 275 x 271 x 207 = 30853350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30853350

Therefore, the GCF of Fractions 537/275,728/542,520/414 is 1/30853350

Least Common Multiple of 275,542,414 with GCF Formula

Least Common Multiple of 275,542,414 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 275,542,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,542,414) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(275,542,414) x common factors =1 x 2 = 2

LCM(275,542,414) = ( 275 × 542 × 414 ) / 2

LCM(275,542,414) = 61706700 / 2

LCM(275,542,414) = 30853350


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 537/275, 728/542, 520/414

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 537/275, 728/542, 520/414?

Answer: GCF of Numerators as per given numbers 537/275, 728/542, 520/414 is

GCF of Numerators i.e. for 537,728,520 is 1

LCM of denominators i.e. for 275,542,414 is 30853350.

Thus, GCF of Fractions is 1/30853350.Finally, GCF of Fractions for 537/275, 728/542, 520/414 is 1/30853350.